Hybrid scale factor and late time acceleration of universe in f(R, T) gravity

In this paper, a model of transitioning universe in f(R, T) gravity, depicting late-time accelerated expansion has been discussed. We developed and presented exact solutions of field equations of the proposed model. The hybrid law scale factor in the form \(a(t) = t^{\alpha } e^{\beta t}\) $a(t)=t^{\alpha }{e}^{\beta t}$ , with constants \(\alpha \) $\alpha$ and \(\beta \) $\beta$ , is assumed to propose the explicit solution of the field equations developed for a homogeneous and isotropic universe in f(R, T) gravity. The model parameters have been extracted using the latest observational findings of the OHD data set. The best-fit values are estimated using the MCMC method. Features like the deceleration parameter and jerk parameter are explored. Further, \(O_m\) $O_m$ and state-finder diagnosis of the assumed model are also discussed for geometrical comparison with the standard \(\Lambda \) $\mathrm{\Lambda }$ CDM model. The paper also discussed the stability of the proposed solution through perturbation analysis.